When it comes to right-angled triangles, there is a specific term used to refer to the longest side. This side is known as the hypotenuse. The hypotenuse is the side opposite the right angle in a right-angled triangle, and it is also the longest side of the triangle.

In a right-angled triangle, the other two sides are called the legs. The leg adjacent to the angle is known as the adjacent side, while the leg opposite the angle is called the opposite side. These two sides are usually of different lengths, but the hypotenuse will always be the longest side.

Understanding the concept of the hypotenuse is crucial in solving problems related to right-angled triangles. The Pythagorean theorem, for example, relies on the relationship between the lengths of the legs and the hypotenuse. According to this theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This theorem is widely used in various fields such as geometry, trigonometry, and physics.

When working with right-angled triangles, it is essential to identify which side is the hypotenuse to correctly apply formulas and solve problems. In diagrams or equations, the hypotenuse is often labeled with the letter 'c' or 'h' to represent its length.

In conclusion, the longest side of a right-angled triangle is called the hypotenuse. It is the side opposite the right angle and plays a significant role in the properties and calculations involving right-angled triangles. Understanding the concept of the hypotenuse and its relationship to the other sides is essential for solving problems involving right-angled triangles.

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